engineering mathematics MCQ #1542

∫e^x / (1 + e^x) dx = ?

engineering mathematics MCQ #1542

  1. Question 1

    Q1. ∫e^x / (1 + e^x) dx = ?

    • A) ln|1 + e^x| + C
    • B) e^x - ln|1 + e^x| + C
    • C) ln|e^x| + C
    • D) x + ln|1 + e^x| + C

    Answer: ln|1 + e^x| + C

    Explanation: Using substitution u = 1 + e^x, du/dx = e^x, hence ∫e^x / (1 + e^x) dx = ∫du/u = ln|u| + C.